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1 ## DESCRIPTION 2 ## Algebra 3 ## ENDDESCRIPTION 4 5 ## KEYWORDS('algebra','absolute value','inequality') 6 ## Tagged by cmd6a 8/6/06 7 8 ## DBsubject('Algebra') 9 ## DBchapter('Equations and Inequalities') 10 ## DBsection('Absolute Value') 11 ## Date('9/9/03') 12 ## Author('K. Lesh') 13 ## Institution('Union College') 14 ## TitleText1('') 15 ## EditionText1('') 16 ## AuthorText1('') 17 ## Section1('') 18 ## Problem1('') 19 20 DOCUMENT(); # This should be the first executable line in the problem. 21 22 loadMacros( 23 "PG.pl", 24 "PGbasicmacros.pl", 25 "PGchoicemacros.pl", 26 "PGanswermacros.pl", 27 "PGauxiliaryFunctions.pl", 28 "PGunion.pl", # Union College utilities 29 "unionAnswer.pl", # Load answer-checker appropriate to the problem 30 "PGcourse.pl", # Customization file for the course 31 ); 32 33 TEXT(beginproblem()); 34 35 BEGIN_PROBLEM(); 36 37 $a = random(1,8,1); 38 $b = random(2,10,1); 39 $c = random(3,15,1); 40 $min=($b-$c)/($a); 41 $max=($c+$b)/($a); 42 43 BEGIN_TEXT 44 Solve the following inequality. Enter the answer in interval notation. 45 \[ |$b-${a}x| < $c \] 46 $BR 47 Answer: \{ans_rule(35)\} 48 $PAR 49 $INFINITY_UNION_MESSAGE 50 END_TEXT 51 52 $showPartialCorrectAnswers = 0; 53 ANS(num_union_cmp("($min,$max)")); 54 55 END_PROBLEM(); 56 ENDDOCUMENT(); # This should be the last executable line in the problem.; 57 58 59
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